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Finding the Fourth Proportional to 409,564.25, 614,623.04 and 143,327.07

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Solution

The fourth proportional to 409,564.25, 614,623.04 and 143,327.07 is: 215,087.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,564.25 : 614,623.04 = 143,327.07 : x
  2. Step 2: Convert to fraction form
    409,564.25/614,623.04 = 143,327.07/x
  3. Step 3: Cross multiply
    409,564.25x = 614,623.04 × 143,327.07
  4. Step 4: Simplify right side
    409,564.25x = 88,092,119,298.53
  5. Step 5: Solve for x
    x = 88,092,119,298.53/409,564.25
  6. Step 6: Final answer
    x = 215,087.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.